Abstract
In this chapter, based on the Bernoulli-Euler hypothesis, thermal stresses in beams subjected to thermal and mechanical loads are recalled. Thermal stresses in composite and curved beams, and thermal deflections in beams subjected to a symmetrical thermal load are treated. Furthermore, solutions for stresses in curved beams are included. Problems and solutions for beams subjected to various temperature field or various boundary conditions are presented. [see also Chap. 23.]
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
The plane which is perpendicular to the neutral axis before deformation remains plane and perpendicular to the neutral axis after deformation.
- 2.
N. Noda, R. Hetnarski, Y. Tanigawa, Thermal Stresses (Taylor & Francis, New York, 2004).
- 3.
The Castigliano theorem: The displacement \(\delta _{P_i}\) of the point where the load \( P_i\) is applied in the direction of the load is given by the partial derivative of the strain energy \(U(P_0, P_1, P_2, ... )\) with respect to the load \( P_i\).
- 4.
See: S. Timoshenko, Strength of Materials, Part 1 Elementary, 3rd edn. (Van Nostrand Reinhold, New York, 1995), Eqs. (50) and (51), pp. 77–78.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Eslami, R., Hetnarski, R.B., Ignaczak, J., Noda, N., Sumi, N., Tanigawa, Y. (2013). Thermal Stresses in Beams. In: Theory of Elasticity and Thermal Stresses. Solid Mechanics and Its Applications, vol 197. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6356-2_14
Download citation
DOI: https://doi.org/10.1007/978-94-007-6356-2_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6355-5
Online ISBN: 978-94-007-6356-2
eBook Packages: EngineeringEngineering (R0)